Question

c)Find the HCF of 81 and 27 by prime factorization.

Answer 1

Answer:

The prime factorization of 81 is: 3 x 3 x 3 x 3. The prime factors and multiplicities 27 and 81 have in common are: 3 x 3 x 3. 3 x 3 x 3 is the gcf of 27 and 81. gcf(27,81) = 27.

Step-by-step explanation:

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Answer 2

SOLUTION

TO DETERMINE

The HCF of 81 and 27 by prime factorization

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

EVALUATION

Here the given numbers are 81 and 27

We now prime factorise the given numbers

81 = 3 × 3 × 3 × 3

27 = 3 × 3 × 3

Hence the required HCF

= 3 × 3 × 3

= 27

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